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Finding the Third Proportional to 68,202 and 148,793.63

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Solution

The third proportional to 68,202 and 148,793.63 is: 324,617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,202 : 148,793.63 = 148,793.63 : x
  2. Step 2: Convert to fraction form
    68,202/148,793.63 = 148,793.63/x
  3. Step 3: Cross multiply
    68,202x = 148,793.63 × 148,793.63
  4. Step 4: Simplify right side
    68,202x = 22,139,542,840.64
  5. Step 5: Solve for x
    x = 22,139,542,840.64/68,202
  6. Step 6: Final answer
    x = 324,617.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.